66 citations · 159 across the 26 of their papers we have counts for
26 papers
Hybrid Stochastic Functional Differential Equations with Infinite Delay: Approximations and Numerics
Guozhen Li, Xiaoyue Li, Xuerong Mao +1
This paper is to investigate if the solution of a hybrid stochastic functional differential equation (SFDE) with infinite delay can be approximated by the solution of the correspon…
Wolbachia invasion to wild mosquito population in stochastic environment
Yuanping Cui, Xiaoyue Li, Xuerong Mao +1
Releasing sterile Wolbachia-infected mosquitoes to invade wild mosquito population is a method of mosquito control. In this paper, a stochastic mosquito population model with Wolba…
Explicit approximation of the invariant measure for SDDEs with the nonlinear diffusion term
Li Xiaoyue, Mao Xuerong, Song guoting
To our knowledge, the existing measure approximation theory requires the diffusion term of the stochastic delay differential equations (SDDEs) to be globally Lipschitz continuous.…
Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations
Xuanpei Zhai, Wenshuang Li, Fengying Wei +1
We establish a stochastic HIV/AIDS model for the individuals with protection awareness and reveal how the protection awareness plays its important role in the control of AIDS. We f…
An explicit approximation for super-linear stochastic functional differential equations
Xiaoyue Li, Xuerong Mao, Guoting Song
Since it is difficult to implement implicit schemes on the infinite-dimensional space, we aim to develop the explicit numerical method for approximating super-linear stochastic fun…
The backward Euler-Maruyama method for invariant measures of stochastic differential equations with super-linear coefficients
Wei Liu, Xuerong Mao, Yue Wu
The backward Euler-Maruyama (BEM) method is employed to approximate the invariant measure of stochastic differential equations, where both the drift and the diffusion coefficient a…